242345975040 has 864 divisors, whose sum is σ = 957615553440. Its totient is φ = 56151244800.

The previous prime is 242345975033. The next prime is 242345975077. The reversal of 242345975040 is 40579543242.

242345975040 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 4 + 597 + 50 + 4 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 194248221696 + 48097753344 = 440736^2 + 219312^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 178063960 + ... + 178065320.

It is an arithmetic number, because the mean of its divisors is an integer number (1108351335).

Almost surely, 2^242345975040 is an apocalyptic number.

242345975040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242345975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478807776720).

242345975040 is an abundant number, since it is smaller than the sum of its proper divisors (715269578400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242345975040 is a wasteful number, since it uses less digits than its factorization.

242345975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 242345975040 in words is "two hundred forty-two billion, three hundred forty-five million, nine hundred seventy-five thousand, forty".